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Estimation of Autocorrelation Operators of Periodically Correlated Autoregressive Hilbertian Processes of Order One


  • Department of Statistics, Khansar College of Mathematics and Computer Science, Khansar, Iran, Islamic Republic of
  • Department of Statistics, Shiraz University, Shiraz, India


Following recent research work on the autocorrelation of autoregressive Hilbertian discrete time processes, we likewise give an estimator for the autocorrelation of periodically correlated autoregressive Hilbertian processes and then prove the strong consistency of the estimator.


Autocorrelation, Autoregressive, Consistency, Hilbertian Processes, Periodically Correlated, Spectral Decomposition.

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